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Finding the Fourth Proportional to 121,770.53, 182,670.56 and 42,868.61

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Solution

The fourth proportional to 121,770.53, 182,670.56 and 42,868.61 is: 64,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,770.53 : 182,670.56 = 42,868.61 : x
  2. Step 2: Convert to fraction form
    121,770.53/182,670.56 = 42,868.61/x
  3. Step 3: Cross multiply
    121,770.53x = 182,670.56 × 42,868.61
  4. Step 4: Simplify right side
    121,770.53x = 7,830,832,780.78
  5. Step 5: Solve for x
    x = 7,830,832,780.78/121,770.53
  6. Step 6: Final answer
    x = 64,308.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.